Taux de convergence pour des modèles de régression à inf-convolution splines et applications

Anestis Antoniadis

Statistique et analyse des données (1991)

  • Volume: 16, Issue: 2, page 1-12
  • ISSN: 0750-7364

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Antoniadis, Anestis. "Taux de convergence pour des modèles de régression à inf-convolution splines et applications." Statistique et analyse des données 16.2 (1991): 1-12. <http://eudml.org/doc/109008>.

@article{Antoniadis1991,
author = {Antoniadis, Anestis},
journal = {Statistique et analyse des données},
language = {fre},
number = {2},
pages = {1-12},
publisher = {Association pour la statistique et ses illustrations},
title = {Taux de convergence pour des modèles de régression à inf-convolution splines et applications},
url = {http://eudml.org/doc/109008},
volume = {16},
year = {1991},
}

TY - JOUR
AU - Antoniadis, Anestis
TI - Taux de convergence pour des modèles de régression à inf-convolution splines et applications
JO - Statistique et analyse des données
PY - 1991
PB - Association pour la statistique et ses illustrations
VL - 16
IS - 2
SP - 1
EP - 12
LA - fre
UR - http://eudml.org/doc/109008
ER -

References

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  1. Antoniadis A. et Grégoire G. (1990) Nonparametric estimation in change-points hazard models for censored survival data, Ann. Stat Soumis pour publication. 
  2. Rice J. et Rosenblatt M. (1981) Integrated mean squared error of a smoothing spline, Journal of Approximation Theory, n° 33, 353-369. Zbl0516.41006MR646156
  3. Girard D. et Laurent PJ. (1989) Splines and estimation of nonlinear parameters, Mathematical methods in CAGD, Academic Press, New York, pp. 273-298. Zbl0677.41014MR1022714
  4. Eubank R.L. (1988) Spline smoothing and nonparametric regression, Marcell Dekker, Inc. Zbl0702.62036MR934016
  5. Heckman N.E. (1986) Spline smoothing in a partly linear model, J.R.S.S. serie B, n° 48, 244-248. Zbl0623.62030MR868002
  6. Laurent P.J. (1981) Inf-convolution spline pour l'approximation de données discontinues, RAIRO, Anal. Num., n° 20,89-111. Zbl0696.41011MR844518
  7. Rice J. (1986) Convergence rates for partialty splined models, Statist. and Prob. Letters, n° 4,203-208. Zbl0628.62077MR848718
  8. Speckman P. (1985) Spline smoothing and optimal rates of convergence in nonparametric regression models, Ann. Statist., n° 13, 970-983. Zbl0585.62074MR803752
  9. Speckman, P. (1988) Kernel smoothing in partially splined models, JRSS B, 413-456. Zbl0671.62045MR970977
  10. Wahba G. (1984) Partial spline models for the semi-parametric estimation of functions of several variables, Statistical analysis of time series, I.M.S. Tokyo, pp. 319-329. 

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